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Finding the Fourth Proportional to 4,766.85, 7,098.64 and 4,684.77

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Solution

The fourth proportional to 4,766.85, 7,098.64 and 4,684.77 is: 6,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.85 : 7,098.64 = 4,684.77 : x
  2. Step 2: Convert to fraction form
    4,766.85/7,098.64 = 4,684.77/x
  3. Step 3: Cross multiply
    4,766.85x = 7,098.64 × 4,684.77
  4. Step 4: Simplify right side
    4,766.85x = 33,255,484.00
  5. Step 5: Solve for x
    x = 33,255,484.00/4,766.85
  6. Step 6: Final answer
    x = 6,976.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.